A uniform plank of length 2.00 m and mass 28.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 720-N person is d = 0.500 m from the left end. magnitude of T. N magnitude of T N N magnitude of 40.0° -2.00 m

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Chapter1: Units, Trigonometry. And Vectors
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A uniform plank of length 2.00 m and mass 28.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 720-N person is \( d = 0.500 \, \text{m} \) from the left end.

- Magnitude of \( T_1 \): [____] N
- Magnitude of \( T_2 \): [____] N
- Magnitude of \( T_3 \): [____] N

In the diagram:

- A person stands on a plank that is supported horizontally by three ropes.
- \( T_1 \) is a tension vector that pulls at a 40-degree angle to the right of the plank's end.
- \( T_2 \) is a vertical tension vector acting upward at the left end of the plank.
- \( T_3 \) is a horizontal tension vector acting to the left. 
- The plank is 2.00 m long, and the person stands 0.500 m from the left end.
Transcribed Image Text:A uniform plank of length 2.00 m and mass 28.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 720-N person is \( d = 0.500 \, \text{m} \) from the left end. - Magnitude of \( T_1 \): [____] N - Magnitude of \( T_2 \): [____] N - Magnitude of \( T_3 \): [____] N In the diagram: - A person stands on a plank that is supported horizontally by three ropes. - \( T_1 \) is a tension vector that pulls at a 40-degree angle to the right of the plank's end. - \( T_2 \) is a vertical tension vector acting upward at the left end of the plank. - \( T_3 \) is a horizontal tension vector acting to the left. - The plank is 2.00 m long, and the person stands 0.500 m from the left end.
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